Shanahan, Daniel (2015) The Other de Broglie Wave. [Preprint]

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Abstract

In his famous doctoral dissertation, de Broglie assumed that a massive particle is surrounded in its rest frame by a standing wave. He argued that as observed from another inertial frame this wave becomes the superluminal wave now known as the de Broglie wave. It is shown here that under a Lorentz transformation, such a standing wave becomes, not the de Broglie wave, but a modulated wave moving at the velocity of the particle. It is the modulation that has the superluminal velocity of the de Broglie wave and should be recognized as the true de Broglie wave. De Broglie's demonstrations relied, variously, on his "theorem of the harmony of phases", on a mechanical model, and on a spacetime diagram. It is shown that in each case the underlying wave was inadvertently suppressed. Identified as a modulation, the de Broglie wave acquires a physically reasonable ontology, avoiding the awkward device of recovering the particle velocity from a superposition of such waves. The deeper wave structure implied by this de Broglie wave must also impinge on such issues in quantum mechanics as the meaning of the wave function and the nature of wave-particle duality.

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Item Type:	Preprint
Creators:	Creators Email ORCID Shanahan, Daniel danjune@bigpond.net.au
Keywords:	de Broglie wave ⋅ Lorentz transformation ⋅ wave packet ⋅ simultaneity ⋅ wave-particle duality ⋅ wave function
Subjects:	Specific Sciences > Physics > Fields and Particles General Issues > History of Philosophy of Science Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory
Depositing User:	Mr Daniel Shanahan
Date Deposited:	06 Mar 2015 15:23
Last Modified:	09 Aug 2015 13:57
Item ID:	11360
Subjects:	Specific Sciences > Physics > Fields and Particles General Issues > History of Philosophy of Science Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory
Date:	6 March 2015
URI:	https://philsci-archive.pitt.edu/id/eprint/11360

Available Versions of this Item

• The Other de Broglie Wave. (deposited 06 Mar 2015 15:23) [Currently Displayed]
  • The de Broglie Wave as Evidence of a Deeper Wave Structure. (deposited 09 Aug 2015 13:57)

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